TSTP Solution File: SCT135+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT135+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:38:21 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT135+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:13:12 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.39 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f4,axiom,(
% 0.20/0.46 v_a____ != v_b____ ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f5,axiom,(
% 0.20/0.46 v_a____ != v_b_H____ ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f6,axiom,(
% 0.20/0.46 v_b____ != v_a_H____ ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f7,axiom,(
% 0.20/0.46 v_a_H____ != v_b_H____ ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f8,axiom,(
% 0.20/0.46 (! [B_i] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f9,axiom,(
% 0.20/0.46 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f10,axiom,(
% 0.20/0.46 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f14,axiom,(
% 0.20/0.46 (! [V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2] :( V_aa_2 != V_ba_2=> ( V_a_Ha_2 != V_b_Ha_2=> ( V_aa_2 != V_b_Ha_2=> ( V_ba_2 != V_a_Ha_2=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)=> ( (! [B_i] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)) ))=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)) ) ) ) ) ) ) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f24,axiom,(
% 0.20/0.46 (! [V_A_2,V_x_2,T_a] :( c_member(T_a,V_x_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_x_2)) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f521,conjecture,(
% 0.20/0.46 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f522,negated_conjecture,(
% 0.20/0.46 ~(( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ) )),
% 0.20/0.48 inference(negated_conjecture,[status(cth)],[f521])).
% 0.20/0.48 fof(f528,plain,(
% 0.20/0.48 ~v_a____=v_b____),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.48 fof(f529,plain,(
% 0.20/0.48 ~v_a____=v_b_H____),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.48 fof(f530,plain,(
% 0.20/0.48 ~v_b____=v_a_H____),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.48 fof(f531,plain,(
% 0.20/0.48 ~v_a_H____=v_b_H____),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.48 fof(f532,plain,(
% 0.20/0.48 ![B_i]: ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)))&(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))),
% 0.20/0.48 inference(NNF_transformation,[status(esa)],[f8])).
% 0.20/0.48 fof(f533,plain,(
% 0.20/0.48 (![B_i]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))&(![B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f532])).
% 0.20/0.48 fof(f534,plain,(
% 0.20/0.48 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,X0)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f533])).
% 0.20/0.48 fof(f535,plain,(
% 0.20/0.48 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,X0)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f533])).
% 0.20/0.48 fof(f536,plain,(
% 0.20/0.48 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.48 fof(f537,plain,(
% 0.20/0.48 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.48 fof(f564,plain,(
% 0.20/0.48 ![V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.20/0.48 fof(f565,plain,(
% 0.20/0.48 ![V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 0.20/0.48 inference(NNF_transformation,[status(esa)],[f564])).
% 0.20/0.48 fof(f566,plain,(
% 0.20/0.48 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_b_Ha_2,V_a_Ha_2]: (V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)))))))))))))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f565])).
% 0.20/0.48 fof(f567,plain,(
% 0.20/0.48 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_b_Ha_2,V_a_Ha_2]: (V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,sk0_1(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,sk0_1(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_2))))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,sk0_1(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_2)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,sk0_1(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_2)))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)))))))))))))),
% 0.20/0.48 inference(skolemization,[status(esa)],[f566])).
% 0.20/0.48 fof(f568,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X2=X3|X0=X3|X1=X2|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X4,sk0_1(X5,X4,X2,X3,X0,X1)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X5,sk0_1(X5,X4,X2,X3,X0,X1)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X4))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(v_F,X5)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f567])).
% 0.20/0.48 fof(f569,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X2=X3|X0=X3|X1=X2|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X4,sk0_1(X5,X4,X2,X3,X0,X1)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X5,sk0_1(X5,X4,X2,X3,X0,X1)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X4))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(v_F,X5)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f567])).
% 0.20/0.48 fof(f609,plain,(
% 0.20/0.48 ![V_A_2,V_x_2,T_a]: ((~c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)))&(c_member(T_a,V_x_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 0.20/0.48 inference(NNF_transformation,[status(esa)],[f24])).
% 0.20/0.48 fof(f610,plain,(
% 0.20/0.48 (![V_A_2,V_x_2]: ((![T_a]: ~c_member(T_a,V_x_2,V_A_2))|hBOOL(hAPP(V_A_2,V_x_2))))&(![V_A_2,V_x_2]: ((![T_a]: c_member(T_a,V_x_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 0.20/0.48 inference(miniscoping,[status(esa)],[f609])).
% 0.20/0.48 fof(f611,plain,(
% 0.20/0.48 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f610])).
% 0.20/0.48 fof(f612,plain,(
% 0.20/0.48 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f610])).
% 0.20/0.48 fof(f2079,plain,(
% 0.20/0.48 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f522])).
% 0.20/0.48 fof(f2080,plain,(
% 0.20/0.48 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))),
% 0.20/0.48 inference(NNF_transformation,[status(esa)],[f2079])).
% 0.20/0.48 fof(f2081,plain,(
% 0.20/0.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f2080])).
% 0.20/0.48 fof(f2082,plain,(
% 0.20/0.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f2080])).
% 0.20/0.48 fof(f2095,plain,(
% 0.20/0.48 spl0_0 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2096,plain,(
% 0.20/0.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~spl0_0),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2095])).
% 0.20/0.48 fof(f2098,plain,(
% 0.20/0.48 spl0_1 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2099,plain,(
% 0.20/0.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|~spl0_1),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2098])).
% 0.20/0.48 fof(f2101,plain,(
% 0.20/0.48 spl0_0|spl0_1),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2081,f2095,f2098])).
% 0.20/0.48 fof(f2102,plain,(
% 0.20/0.48 ~spl0_0|~spl0_1),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2082,f2095,f2098])).
% 0.20/0.48 fof(f2193,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (c_member(X0,X1,X2)|~c_member(X3,X1,X2))),
% 0.20/0.48 inference(resolution,[status(thm)],[f612,f611])).
% 0.20/0.48 fof(f2195,plain,(
% 0.20/0.48 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,X1))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X1)))),
% 0.20/0.48 inference(resolution,[status(thm)],[f2193,f535])).
% 0.20/0.48 fof(f2201,plain,(
% 0.20/0.48 spl0_2 <=> v_a_H____=v_b_H____),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2202,plain,(
% 0.20/0.48 v_a_H____=v_b_H____|~spl0_2),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2201])).
% 0.20/0.48 fof(f2204,plain,(
% 0.20/0.48 spl0_3 <=> X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2205,plain,(
% 0.20/0.48 ![X0,X1,X2]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_3)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2204])).
% 0.20/0.48 fof(f2207,plain,(
% 0.20/0.48 spl0_4 <=> c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2209,plain,(
% 0.20/0.48 ~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|spl0_4),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2207])).
% 0.20/0.48 fof(f2210,plain,(
% 0.20/0.48 ![X0,X1,X2]: (v_a_H____=v_b_H____|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_1)),
% 0.20/0.48 inference(resolution,[status(thm)],[f568,f2099])).
% 0.20/0.48 fof(f2211,plain,(
% 0.20/0.48 spl0_2|spl0_3|~spl0_4|~spl0_1),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2210,f2201,f2204,f2207,f2098])).
% 0.20/0.48 fof(f2213,plain,(
% 0.20/0.48 $false|spl0_4),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2209,f537])).
% 0.20/0.48 fof(f2214,plain,(
% 0.20/0.48 spl0_4),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2213])).
% 0.20/0.48 fof(f2215,plain,(
% 0.20/0.48 $false|~spl0_2),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2202,f531])).
% 0.20/0.48 fof(f2216,plain,(
% 0.20/0.48 ~spl0_2),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2215])).
% 0.20/0.48 fof(f2220,plain,(
% 0.20/0.48 spl0_5 <=> v_a____=v_b____),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2221,plain,(
% 0.20/0.48 v_a____=v_b____|~spl0_5),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2220])).
% 0.20/0.48 fof(f2223,plain,(
% 0.20/0.48 spl0_6 <=> X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2224,plain,(
% 0.20/0.48 ![X0,X1,X2]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_6)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2223])).
% 0.20/0.48 fof(f2226,plain,(
% 0.20/0.48 spl0_7 <=> c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2228,plain,(
% 0.20/0.48 ~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|spl0_7),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2226])).
% 0.20/0.48 fof(f2229,plain,(
% 0.20/0.48 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_0)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2096,f569])).
% 0.20/0.48 fof(f2230,plain,(
% 0.20/0.48 spl0_5|spl0_6|~spl0_7|~spl0_0),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2229,f2220,f2223,f2226,f2095])).
% 0.20/0.48 fof(f2231,plain,(
% 0.20/0.48 spl0_8 <=> X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2232,plain,(
% 0.20/0.48 ![X0,X1,X2]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_8)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2231])).
% 0.20/0.48 fof(f2234,plain,(
% 0.20/0.48 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_0)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2096,f568])).
% 0.20/0.48 fof(f2235,plain,(
% 0.20/0.48 spl0_5|spl0_8|~spl0_7|~spl0_0),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2234,f2220,f2231,f2226,f2095])).
% 0.20/0.48 fof(f2236,plain,(
% 0.20/0.48 $false|spl0_7),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2228,f536])).
% 0.20/0.48 fof(f2237,plain,(
% 0.20/0.48 spl0_7),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2236])).
% 0.20/0.48 fof(f2238,plain,(
% 0.20/0.48 $false|~spl0_5),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2221,f528])).
% 0.20/0.48 fof(f2239,plain,(
% 0.20/0.48 ~spl0_5),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2238])).
% 0.20/0.48 fof(f2240,plain,(
% 0.20/0.48 ![X0,X1,X2,X3]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(X2,v_P____,X0,X1,v_a____,v_b____)))|~spl0_6)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2224,f2193])).
% 0.20/0.48 fof(f2242,plain,(
% 0.20/0.48 ![X0,X1]: (X0=X1|v_a____=X1|v_b____=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P_H____,sk0_1(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,v_P_H____))|~spl0_8)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2232,f537])).
% 0.20/0.48 fof(f2250,plain,(
% 0.20/0.48 spl0_10 <=> v_a____=v_b_H____),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2251,plain,(
% 0.20/0.48 v_a____=v_b_H____|~spl0_10),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2250])).
% 0.20/0.48 fof(f2253,plain,(
% 0.20/0.48 spl0_11 <=> v_b____=v_a_H____),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2254,plain,(
% 0.20/0.48 v_b____=v_a_H____|~spl0_11),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2253])).
% 0.20/0.48 fof(f2256,plain,(
% 0.20/0.48 spl0_12 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2257,plain,(
% 0.20/0.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~spl0_12),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2256])).
% 0.20/0.48 fof(f2259,plain,(
% 0.20/0.48 v_a_H____=v_b_H____|v_a____=v_b_H____|v_b____=v_a_H____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~spl0_8),
% 0.20/0.48 inference(resolution,[status(thm)],[f2242,f535])).
% 0.20/0.48 fof(f2260,plain,(
% 0.20/0.48 spl0_2|spl0_10|spl0_11|spl0_12|spl0_1|~spl0_8),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2259,f2201,f2250,f2253,f2256,f2098,f2231])).
% 0.20/0.48 fof(f2261,plain,(
% 0.20/0.48 $false|~spl0_11),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2254,f530])).
% 0.20/0.48 fof(f2262,plain,(
% 0.20/0.48 ~spl0_11),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2261])).
% 0.20/0.48 fof(f2263,plain,(
% 0.20/0.48 $false|~spl0_10),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2251,f529])).
% 0.20/0.48 fof(f2264,plain,(
% 0.20/0.48 ~spl0_10),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2263])).
% 0.20/0.48 fof(f2266,plain,(
% 0.20/0.48 spl0_13 <=> X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2267,plain,(
% 0.20/0.48 ![X0,X1,X2]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_13)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2266])).
% 0.20/0.48 fof(f2269,plain,(
% 0.20/0.48 ![X0,X1,X2]: (v_a_H____=v_b_H____|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sk0_1(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))|~spl0_1)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2099,f569])).
% 0.20/0.48 fof(f2270,plain,(
% 0.20/0.48 spl0_2|spl0_13|~spl0_4|~spl0_1),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2269,f2201,f2266,f2207,f2098])).
% 0.20/0.48 fof(f2283,plain,(
% 0.20/0.48 ![X0,X1,X2]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P_H____,sk0_1(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,v_P_H____))|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|~spl0_6)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2240,f537])).
% 0.20/0.48 fof(f2286,plain,(
% 0.20/0.48 spl0_14 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2287,plain,(
% 0.20/0.48 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~spl0_14)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2286])).
% 0.20/0.48 fof(f2289,plain,(
% 0.20/0.48 ![X0]: (v_a_H____=v_b_H____|v_a____=v_b_H____|v_b____=v_a_H____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~spl0_6)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2283,f534])).
% 0.20/0.48 fof(f2290,plain,(
% 0.20/0.48 spl0_2|spl0_10|spl0_11|spl0_1|spl0_14|~spl0_12|~spl0_6),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2289,f2201,f2250,f2253,f2098,f2286,f2256,f2223])).
% 0.20/0.48 fof(f2304,plain,(
% 0.20/0.48 ![X0,X1]: (X0=X1|v_a_H____=X1|v_b_H____=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P____,sk0_1(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,v_P____))|~spl0_3)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2205,f536])).
% 0.20/0.48 fof(f2323,plain,(
% 0.20/0.48 $false|~spl0_14|~spl0_12),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2257,f2287])).
% 0.20/0.48 fof(f2324,plain,(
% 0.20/0.48 ~spl0_14|~spl0_12),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f2323])).
% 0.20/0.48 fof(f2426,plain,(
% 0.20/0.48 spl0_18 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2427,plain,(
% 0.20/0.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|~spl0_18),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2426])).
% 0.20/0.48 fof(f2428,plain,(
% 0.20/0.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|spl0_18),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2426])).
% 0.20/0.48 fof(f2443,plain,(
% 0.20/0.48 spl0_20 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f2445,plain,(
% 0.20/0.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|spl0_20),
% 0.20/0.48 inference(component_clause,[status(thm)],[f2443])).
% 0.20/0.48 fof(f2446,plain,(
% 0.20/0.48 v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~spl0_18|~spl0_13),
% 0.20/0.48 inference(resolution,[status(thm)],[f2427,f2267])).
% 0.20/0.48 fof(f2447,plain,(
% 0.20/0.48 spl0_5|spl0_11|spl0_10|~spl0_7|~spl0_20|spl0_0|~spl0_18|~spl0_13),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2446,f2220,f2253,f2250,f2226,f2443,f2095,f2426,f2266])).
% 0.20/0.48 fof(f2451,plain,(
% 0.20/0.48 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|spl0_20)),
% 0.20/0.48 inference(resolution,[status(thm)],[f2445,f2195])).
% 0.20/0.48 fof(f2457,plain,(
% 0.20/0.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|spl0_18),
% 0.20/0.48 inference(resolution,[status(thm)],[f2428,f534])).
% 0.20/0.48 fof(f2458,plain,(
% 0.20/0.48 ~spl0_20|spl0_18),
% 0.20/0.48 inference(split_clause,[status(thm)],[f2457,f2443,f2426])).
% 0.20/0.48 fof(f2460,plain,(
% 0.20/0.48 v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sk0_1(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|spl0_20|~spl0_3),
% 0.20/0.49 inference(resolution,[status(thm)],[f2451,f2304])).
% 0.20/0.49 fof(f2461,plain,(
% 0.20/0.49 spl0_5|spl0_11|spl0_10|spl0_20|spl0_0|~spl0_3),
% 0.20/0.49 inference(split_clause,[status(thm)],[f2460,f2220,f2253,f2250,f2443,f2095,f2204])).
% 0.20/0.49 fof(f2464,plain,(
% 0.20/0.49 $false),
% 0.20/0.49 inference(sat_refutation,[status(thm)],[f2101,f2102,f2211,f2214,f2216,f2230,f2235,f2237,f2239,f2260,f2262,f2264,f2270,f2290,f2324,f2447,f2458,f2461])).
% 0.20/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 % Elapsed time: 0.138113 seconds
% 0.20/0.49 % CPU time: 0.667943 seconds
% 0.20/0.49 % Total memory used: 111.558 MB
% 0.20/0.49 % Net memory used: 111.192 MB
%------------------------------------------------------------------------------